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MELT Lab
  • Home - Research
  • Publications
  • Teaching
  • Group Members
  • About me
  • MSME program FAQs
  • Misc
    • Software
    • Teaching FAQs
    • NAMD SMD sample code
    • Force Field parameters
    • Research Labs
  • More
    • Home - Research
    • Publications
    • Teaching
    • Group Members
    • About me
    • MSME program FAQs
    • Misc
      • Software
      • Teaching FAQs
      • NAMD SMD sample code
      • Force Field parameters
      • Research Labs

Below are the recommended resources to strengthen your basics in mathematics which will prepare you for the Statics course.

Matrices - for Chapters related to Moment of Force

Introduction to Matrices

Matrix Addition & Subtraction I

Matrix Addition & Subtraction II


Matrix Scalar Multiplication

Matrix Multiplication I

Matrix Multiplication II

Matrix Multiplication III


Identity Matrix

Determinant of a 2x2 Matrix

Determinant of a 3x3 Matrix I

Determinant of a 3x3 Matrix II


Inverse of 2x2 Matrix

Inverse of 3x3 Matrix


Solving a 2x2 System of Equations Using a Matrix Inverse I

Solving a 2x2 System of Equations Using a Matrix Inverse II

Solving a 3x3 System of Equations Using a Matrix Inverse

Cross Product of Vectors & Determinants - area of triangles and parallelograms

Vectors - for Chapters related to Force resolution and Equilibrium analysis

Geometric Representation of Vectors

Algebraic Representation of Vectors

Components of a Vector


Adding Vectors Graphically or Head-to-Tail Method

Adding Vectors using Components I

Adding Vectors using Components II


Vector Addition & Scalar Multiplication

Vector Magnitude & Direction

The Resultant of Two Forces

Components of a Force

Solve Navigation Problems using Vectors


Unit Vectors I

Unit Vectors II

Vector Equation of a Line


Parametric Equations & Motion

Parameterize a Line Segment & a Circle

Parametric Equations


Dot Product of Vectors

Angle between Two Vectors

Vectors in Three Dimensions

Lines in 3D Coordinate Systems


Vectors and Planes I

Vectors and Planes II

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